the slope, m, of a linear equation can be found using the formula $m = \\frac{y_2 - y_1}{x_2 - x_1}$, where…

the slope, m, of a linear equation can be found using the formula $m = \\frac{y_2 - y_1}{x_2 - x_1}$, where the x - and y - values come from two ordered pairs, and $(x_1,y_1)$ and $(x_2,y_2)$. what is an equivalent equation solved for $y_2$? $y_2 = mx_2 - x_1 + y_1$ $y_2 = mx_2 - x_1 - y_1$ $y_2 = m(x_2 - x_1)+y_1$ $y_2 = m(x_2 - x_1)-y_1$

the slope, m, of a linear equation can be found using the formula $m = \\frac{y_2 - y_1}{x_2 - x_1}$, where the x - and y - values come from two ordered pairs, and $(x_1,y_1)$ and $(x_2,y_2)$. what is an equivalent equation solved for $y_2$? $y_2 = mx_2 - x_1 + y_1$ $y_2 = mx_2 - x_1 - y_1$ $y_2 = m(x_2 - x_1)+y_1$ $y_2 = m(x_2 - x_1)-y_1$

Answer

Answer:

C. $y_2 = m(x_2 - x_1)+y_1$

Explanation:

Step1: Comenzar con la fórmula de la pendiente

$m=\frac{y_2 - y_1}{x_2 - x_1}$

Step2: Multiplicar ambos lados por $(x_2 - x_1)$

$m(x_2 - x_1)=y_2 - y_1$

Step3: Sumar $y_1$ a ambos lados

$y_2 = m(x_2 - x_1)+y_1$